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arXiv · 0710.1391

Integrablility of a Classical $N= 2$ Super Sinh-Gordon Model with Jump Defects

J. F. Gomes·L. H. Ymai·A. H. Zimerman
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Abstract

The Lagrangian formalism for the N=2 supersymmetric sinh-Gordon model with a jump defect is considered. The modified conserved momentum and energy are constructed in terms of border functions. The supersymmetric Backlund transformation is given and an one-soliton solution is obtained. The Lax formulation based on the affine super Lie algebra $sl(2,2)$ within the space split by the defect leads to the integrability of the model and henceforth to the existence of an infinite number of constants of motion.

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J. F. Gomes, L. H. Ymai, A. H. Zimerman. 2008-03-03. Integrablility of a Classical $N= 2$ Super Sinh-Gordon Model with Jump Defects. https://doi.org/10.1088/1126-6708%2F2008%2F03%2F001

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